The linear scale factor of two similar solids is given. Then the surface area and volume of the smaller figure are also given. Find the surface area and volume of the large figure. Scale factor: 5:8

Surface area: 475

volume: 1125

Surface area: ?

volume: ?

Surface area: 1216

Volume: 4608

Step-by-step explanation:

Scale factor: 5:8

This means that the dimensions of the larger figure are 8/5 of those in the smaller figure.

Surface area:

The surface area is found multiplying the square of the change(8/5) by the original surface area(475). So

Volume:

The volume is found multiplying the cube of the change(8/5) by the original volume(1125). So

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.